… For linearly ordered basic algebras, we prove that the upper and lower approximations of
their … the upper (lower) rough ideals of basic algebras and the upper (lower) approximations of …

… point-free representation shows the correspondence to Kleene algebras with domain. …
All results presented in this article are part of ongoing work: The basic approach presented in …

… , on the one hand, and topological quasi-Boolean, prerough and rough algebras, on the
other. More interestingly and importantly, some of these latter algebras find a new dimension (…

… Pomykala and Pomykala [30] showed that the set of rough sets forms a Stone algebra. …
algebras related to the study of algebraic logic, such as Stone algebras and relation algebras. A …

… theory of rough sets but also provided new ideas in the study of pure algebra. … algebras
based on a partition of the unit and a basic assignment function between two Boolean algebras. …

… In this paper basic notions of the rough set theory will be given. In fact, the paper concerns …
algebras related to the study of algebraic logic, such as Stone algebras and relation algebras. …

… basic role in the foundations of quantum mechanics. In 1994, Foulis and Bennett introduced
effect algebras … In this paper, we discuss the roughness of lattice ordered effect algebra and …

… This paper is organized as follows: In Section 2, we review some basic notions and properties
of Lie algebra, fuzzy Lie algebra … Moreover, the basic properties of them are discussed. …

… of algebras containing several classes of algebras of fuzzy logics, such as the monoidal t-norm
based logic (MTL-algebras) [11], the basic fuzzy logic (BL-algebras… some basic notions of …

… In this section, we summarize the basic concepts on MV -algebras and MV -… ] for the basic
properties of PMV -algebras. Obviously, a PMV algebra homomorphism will be an MV -algebra …